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Simplifying 20h2 + 25h = 30 Reorder the terms: 25h + 20h2 = 30 Solving 25h + 20h2 = 30 Solving for variable 'h'. Reorder the terms: -30 + 25h + 20h2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 25h + 20h2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + 5h + 4h2) = 0 Factor a trinomial. 5((-2 + -1h)(3 + -4h)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -1h)' equal to zero and attempt to solve: Simplifying -2 + -1h = 0 Solving -2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1h = 0 + 2 -1h = 0 + 2 Combine like terms: 0 + 2 = 2 -1h = 2 Divide each side by '-1'. h = -2 Simplifying h = -2Subproblem 2
Set the factor '(3 + -4h)' equal to zero and attempt to solve: Simplifying 3 + -4h = 0 Solving 3 + -4h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4h = 0 + -3 -4h = 0 + -3 Combine like terms: 0 + -3 = -3 -4h = -3 Divide each side by '-4'. h = 0.75 Simplifying h = 0.75Solution
h = {-2, 0.75}
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